Search a number
-
+
366071940 = 223351352147
BaseRepresentation
bin10101110100011…
…101000010000100
3221111211101022000
4111310131002010
51222203300230
6100154105300
712033363063
oct2564350204
9844741260
10366071940
111787022a3
12a271b230
135aac2720
14368921da
1522210b60
hex15d1d084

366071940 has 96 divisors (see below), whose sum is σ = 1226520960. Its totient is φ = 90108288.

The previous prime is 366071939. The next prime is 366071947. The reversal of 366071940 is 49170663.

366071940 is a `hidden beast` number, since 3 + 6 + 607 + 1 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 366071895 and 366071904.

It is not an unprimeable number, because it can be changed into a prime (366071947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19054 + ... + 33093.

It is an arithmetic number, because the mean of its divisors is an integer number (12776260).

Almost surely, 2366071940 is an apocalyptic number.

366071940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

366071940 is an abundant number, since it is smaller than the sum of its proper divisors (860449020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

366071940 is a wasteful number, since it uses less digits than its factorization.

366071940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52178 (or 52170 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 366071940 is about 19133.0065593466. The cubic root of 366071940 is about 715.3558728547.

The spelling of 366071940 in words is "three hundred sixty-six million, seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 52147 104294 156441 208588 260735 312882 469323 521470 625764 677911 782205 938646 1042940 1355822 1407969 1564410 1877292 2033733 2346615 2711644 2815938 3128820 3389555 4067466 4693230 5631876 6101199 6779110 7039845 8134932 9386460 10168665 12202398 13558220 14079690 18303597 20337330 24404796 28159380 30505995 36607194 40674660 61011990 73214388 91517985 122023980 183035970 366071940